LEADER 03041nam 2200589 450 001 9910814066903321 005 20220823041829.0 010 $a0-8218-8204-X 035 $a(CKB)3240000000070048 035 $a(EBL)3113220 035 $a(SSID)ssj0000629305 035 $a(PQKBManifestationID)11437677 035 $a(PQKBTitleCode)TC0000629305 035 $a(PQKBWorkID)10730325 035 $a(PQKB)10569376 035 $a(MiAaPQ)EBC3113220 035 $a(RPAM)16190497 035 $a(PPN)197108547 035 $a(EXLCZ)993240000000070048 100 $a20100416h20102010 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aFive lectures in complex analysis $esecond Winter School on Complex Analysis and Operator Theory, February 5-9, 2008, University of Sevilla, Sevilla, Spain /$fManuel D. Contreras, Santiago Di?az-Madrigal, editors 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society ;$a[Spain] :$cReal Sociedad Matema?tica Espan?ola,$d[2010] 210 4$dİ2010 215 $a1 online resource (177 p.) 225 1 $aContemporary mathematics,$v525$x0271-4132 300 $aDescription based upon print version of record. 311 $a0-8218-4809-7 320 $aIncludes bibliographical references. 327 $aContents -- Preface -- Local holomorphic dynamics of diffeomorphisms in dimension one -- Prologue -- 1. Formal Normal Forms -- Germs of formal diffeomorphisms -- Homological equation, resonances and the non-parabolic case -- Formal normal forms in the parabolic case -- Germs of vector fields and flows: the formal classification revised -- 2. Holomorphic Dynamics -- The hyperbolic case -- The elliptic case: Cremer, Siegel diffeomorphisms and small divisors -- The parabolic case: the Leau-Fatou flowers theorem -- 2. Hyperbolic Geometry -- 3. Other metrics in complex analysis and potential theory -- 4. CAT(k) and related curvature conditions -- 5. Gromov hyperbolicity -- 6. Appendix: terminology of metric geometry -- References -- Virasoro algebra and dynamics in the space of univalent functions -- Composition operators - Toeplitz operators -- Two applications of the Bergman spaces techniques. 410 0$aContemporary mathematics (American Mathematical Society).$v525$x0271-4132 606 $aFunctions of complex variables$vCongresses 606 $aMathematical analysis$vCongresses 615 0$aFunctions of complex variables 615 0$aMathematical analysis 676 $a515 702 $aContreras$b Manuel D$g(Contreras Ma?rquez),$f1967- 702 $aDi?az-Madrigal$b Santiago 712 02$aAmerican Mathematical Society, 712 02$aReal Sociedad Matema?tica Espan?ola, 712 12$aWinter School on Complex Analysis and Operator Theory 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910814066903321 996 $aFive lectures in complex analysis$9766710 997 $aUNINA